A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS

ZERAOULIA ELHADJ
Department of Mathematics, University of T´eb´essa,
(12000), Algeria
[email protected]
[email protected]

J. C. SPROTT
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
[email protected]

Received April 19, 2007; Revised May 30, 2007

ABSTRACT

The aim of this paper is to present and analyze a minimal chaotic map of the plane, then we describe in detail the dynamical behavior of this map, along with some other dynamical phenomena.

Ref: E. Zeraoulia and J. C. Sprott, International Journal of Bifurcation and Chaos 18, 1567-1577 (2008)

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